164001821649119 has 8 divisors (see below), whose sum is σ = 164062570111440. Its totient is φ = 163941079896000.

The previous prime is 164001821649097. The next prime is 164001821649131. The reversal of 164001821649119 is 911946128100461.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164001821649119 - 2²⁴ = 164001804871903 is a prime.

It is a super-2 number, since 2×164001821649119² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164001821649139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47486987 + ... + 50823395.

It is an arithmetic number, because the mean of its divisors is an integer number (20507821263930).

Almost surely, 2^{164001821649119} is an apocalyptic number.

164001821649119 is a deficient number, since it is larger than the sum of its proper divisors (60748462321).

164001821649119 is a wasteful number, since it uses less digits than its factorization.

164001821649119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354601.

The product of its (nonzero) digits is 746496, while the sum is 53.

The spelling of 164001821649119 in words is "one hundred sixty-four trillion, one billion, eight hundred twenty-one million, six hundred forty-nine thousand, one hundred nineteen".